mirror of
https://github.com/ml-explore/mlx.git
synced 2025-10-31 16:21:27 +08:00
449 lines
17 KiB
Python
449 lines
17 KiB
Python
# Copyright © 2023 Apple Inc.
|
|
|
|
import math
|
|
import unittest
|
|
from itertools import permutations
|
|
|
|
import mlx.core as mx
|
|
import mlx_tests
|
|
import numpy as np
|
|
|
|
|
|
class TestBlas(mlx_tests.MLXTestCase):
|
|
@property
|
|
def dtypes(self):
|
|
return ["float32", "float16"] if mx.metal.is_available() else ["float32"]
|
|
|
|
def __gemm_test(
|
|
self,
|
|
shape_a,
|
|
shape_b,
|
|
np_dtype=np.float32,
|
|
f_np_a=lambda x: x,
|
|
f_np_b=lambda x: x,
|
|
f_mx_a=lambda x: x,
|
|
f_mx_b=lambda x: x,
|
|
):
|
|
with self.subTest(
|
|
dtype=np.dtype(np_dtype).name, shape_a=shape_a, shape_b=shape_b
|
|
):
|
|
np.random.seed(42)
|
|
scale = max(np.sum(shape_a), 128)
|
|
a_np = np.random.normal(0.0, 1.0 / scale, shape_a).astype(np_dtype)
|
|
b_np = np.random.normal(0.0, 1.0 / scale, shape_b).astype(np_dtype)
|
|
|
|
a_mx = mx.array(a_np)
|
|
b_mx = mx.array(b_np)
|
|
|
|
a_np = f_np_a(a_np.astype(np.float32))
|
|
b_np = f_np_b(b_np.astype(np.float32))
|
|
a_mx = f_mx_a(a_mx)
|
|
b_mx = f_mx_b(b_mx)
|
|
|
|
out_npy = a_np @ b_np
|
|
out_mlx = a_mx @ b_mx
|
|
|
|
self.assertListEqual(list(out_npy.shape), list(out_mlx.shape))
|
|
self.assertTrue(np.allclose(out_mlx, out_npy.astype(np_dtype), atol=1e-5))
|
|
|
|
def test_matmul_unaligned(self):
|
|
if not mx.metal.is_available():
|
|
return
|
|
|
|
for dtype in self.dtypes:
|
|
np_dtype = getattr(np, dtype)
|
|
base_shapes = [4, 8, 16, 32, 64, 128]
|
|
pertubations = [-2, -1, 0, 1, 2]
|
|
|
|
for dim in base_shapes:
|
|
for p in pertubations:
|
|
shape_a = (dim + p, dim + p)
|
|
shape_b = (dim + p, dim + p)
|
|
self.__gemm_test(shape_a, shape_b, np_dtype)
|
|
|
|
def test_matmul_shapes(self):
|
|
if not mx.metal.is_available():
|
|
return
|
|
|
|
shapes = [
|
|
(1, 2, 1, 1),
|
|
(1, 1, 2, 1),
|
|
(3, 23, 457, 3),
|
|
]
|
|
|
|
if mx.default_device() == mx.gpu:
|
|
shapes += [
|
|
(16, 768, 768, 128),
|
|
]
|
|
|
|
for dtype in self.dtypes:
|
|
np_dtype = getattr(np, dtype)
|
|
|
|
for B, M, N, K in shapes:
|
|
|
|
with self.subTest(tranpose="nn"):
|
|
shape_a = (B, M, K)
|
|
shape_b = (B, K, N)
|
|
self.__gemm_test(shape_a, shape_b, np_dtype)
|
|
|
|
with self.subTest(tranpose="nt"):
|
|
shape_a = (B, M, K)
|
|
shape_b = (B, N, K)
|
|
self.__gemm_test(
|
|
shape_a,
|
|
shape_b,
|
|
np_dtype,
|
|
f_np_b=lambda x: np.transpose(x, (0, 2, 1)),
|
|
f_mx_b=lambda x: mx.transpose(x, (0, 2, 1)),
|
|
)
|
|
|
|
with self.subTest(tranpose="tn"):
|
|
shape_a = (B, K, M)
|
|
shape_b = (B, K, N)
|
|
self.__gemm_test(
|
|
shape_a,
|
|
shape_b,
|
|
np_dtype,
|
|
f_np_a=lambda x: np.transpose(x, (0, 2, 1)),
|
|
f_mx_a=lambda x: mx.transpose(x, (0, 2, 1)),
|
|
)
|
|
|
|
with self.subTest(tranpose="tt"):
|
|
shape_a = (B, K, M)
|
|
shape_b = (B, N, K)
|
|
self.__gemm_test(
|
|
shape_a,
|
|
shape_b,
|
|
np_dtype,
|
|
f_np_a=lambda x: np.transpose(x, (0, 2, 1)),
|
|
f_mx_a=lambda x: mx.transpose(x, (0, 2, 1)),
|
|
f_np_b=lambda x: np.transpose(x, (0, 2, 1)),
|
|
f_mx_b=lambda x: mx.transpose(x, (0, 2, 1)),
|
|
)
|
|
|
|
def test_matmul(self):
|
|
# Note: so far, matmul only works with floating-point types
|
|
a = mx.array([[1.0, 2.0], [3.0, 4.0]])
|
|
|
|
b = mx.array([[0.0, -1.0], [-3.0, 3.0]])
|
|
|
|
expected = [[-6.0, 5.0], [-12.0, 9.0]]
|
|
|
|
self.assertEqual((a @ b).tolist(), expected)
|
|
self.assertEqual(mx.matmul(a, b).tolist(), expected)
|
|
|
|
# Transposed matmul
|
|
np.random.seed(0)
|
|
a_npy = np.random.normal(0.0, 1.0 / 128, (128, 16)).astype(np.float32)
|
|
b_npy = np.random.normal(0.0, 1.0 / 128, (128, 16)).astype(np.float32)
|
|
c_npy = a_npy @ np.transpose(b_npy, (1, 0))
|
|
d_npy = np.transpose(a_npy, (1, 0)) @ b_npy
|
|
|
|
a_mlx = mx.array(a_npy)
|
|
b_mlx = mx.array(b_npy)
|
|
c_mlx = a_mlx @ mx.transpose(b_mlx, (1, 0))
|
|
d_mlx = mx.transpose(a_mlx, (1, 0)) @ b_mlx
|
|
|
|
self.assertListEqual(list(c_npy.shape), list(c_mlx.shape))
|
|
self.assertListEqual(list(d_npy.shape), list(d_mlx.shape))
|
|
|
|
self.assertTrue(np.allclose(c_mlx, c_npy, atol=1e-6))
|
|
self.assertTrue(np.allclose(d_mlx, d_npy, atol=1e-6))
|
|
|
|
def test_matmul_dtypes(self):
|
|
|
|
for dt in self.dtypes:
|
|
a_npy = np.random.normal(0.0, 1.0 / 256, (16, 16, 16)).astype(
|
|
getattr(np, dt)
|
|
)
|
|
b_npy = np.random.normal(0.0, 1.0 / 256, (16, 16, 16)).astype(
|
|
getattr(np, dt)
|
|
)
|
|
a_mlx = mx.array(a_npy)
|
|
b_mlx = mx.array(b_npy)
|
|
|
|
c_npy = np.matmul(a_npy, b_npy, dtype=getattr(np, dt))
|
|
c_mlx = a_mlx @ b_mlx
|
|
|
|
self.assertTrue(np.allclose(c_mlx, c_npy, atol=1e-6))
|
|
|
|
def test_matmul_batched(self):
|
|
np.random.seed(0)
|
|
# Batched matmul
|
|
a_npy = np.random.normal(0.0, 1.0 / 128, (32, 128, 16)).astype(np.float32)
|
|
b_npy = np.random.normal(0.0, 1.0 / 128, (32, 16, 16)).astype(np.float32)
|
|
c_npy = a_npy @ b_npy
|
|
|
|
a_mlx = mx.array(a_npy)
|
|
b_mlx = mx.array(b_npy)
|
|
c_mlx = a_mlx @ b_mlx
|
|
|
|
self.assertListEqual(list(c_npy.shape), list(c_mlx.shape))
|
|
self.assertTrue(np.allclose(c_mlx, c_npy, atol=1e-6))
|
|
|
|
# Batched and transposed matmul
|
|
b_npy = np.random.normal(0.0, 1.0 / 128, (32, 128, 16)).astype(np.float32)
|
|
c_npy = a_npy @ np.transpose(b_npy, (0, 2, 1))
|
|
|
|
b_mlx = mx.array(b_npy)
|
|
c_mlx = a_mlx @ mx.transpose(b_mlx, (0, 2, 1))
|
|
|
|
self.assertListEqual(list(c_npy.shape), list(c_mlx.shape))
|
|
self.assertTrue(np.allclose(c_mlx, c_npy, atol=1e-6))
|
|
|
|
# Batched matmul with simple broadast
|
|
a_npy = np.random.normal(0.0, 1.0 / 128, (32, 128, 16)).astype(np.float32)
|
|
b_npy = np.random.normal(0.0, 1.0 / 128, (16, 16)).astype(np.float32)
|
|
c_npy = a_npy @ b_npy
|
|
|
|
a_mlx = mx.array(a_npy)
|
|
b_mlx = mx.array(b_npy)
|
|
c_mlx = a_mlx @ b_mlx
|
|
|
|
self.assertListEqual(list(c_npy.shape), list(c_mlx.shape))
|
|
self.assertTrue(np.allclose(c_mlx, c_npy, atol=1e-6))
|
|
|
|
# Both operands broadcasted
|
|
d_npy = np.broadcast_to(b_npy, (5, 16, 16))
|
|
d_mlx = mx.broadcast_to(b_mlx, (5, 16, 16))
|
|
|
|
e_npy = d_npy @ d_npy
|
|
e_mlx = d_mlx @ d_mlx
|
|
|
|
self.assertListEqual(list(e_npy.shape), list(e_mlx.shape))
|
|
self.assertTrue(np.allclose(e_mlx, e_npy, atol=1e-6))
|
|
|
|
# Batched and transposed matmul with simple broadast
|
|
a_npy = np.random.normal(0.0, 1.0 / 128, (32, 128, 16)).astype(np.float32)
|
|
b_npy = np.random.normal(0.0, 1.0 / 128, (128, 16)).astype(np.float32)
|
|
a_mlx = mx.array(a_npy)
|
|
b_mlx = mx.array(b_npy)
|
|
|
|
c_npy = a_npy @ np.transpose(b_npy, (1, 0))
|
|
c_mlx = a_mlx @ mx.transpose(b_mlx, (1, 0))
|
|
|
|
self.assertListEqual(list(c_npy.shape), list(c_mlx.shape))
|
|
self.assertTrue(np.allclose(c_mlx, c_npy, atol=1e-6))
|
|
|
|
# Matmul with vector
|
|
a_npy = np.random.normal(0.0, 1.0 / 128, (32, 128, 16)).astype(np.float32)
|
|
b_npy = np.random.normal(0.0, 1.0 / 128, (16,)).astype(np.float32)
|
|
a_mlx = mx.array(a_npy)
|
|
b_mlx = mx.array(b_npy)
|
|
|
|
c_npy = a_npy @ b_npy
|
|
c_mlx = a_mlx @ b_mlx
|
|
|
|
self.assertListEqual(list(c_npy.shape), list(c_mlx.shape))
|
|
self.assertTrue(np.allclose(c_mlx, c_npy, atol=1e-6))
|
|
|
|
# Test Multiheaded attention style matmul
|
|
a_npy = np.random.normal(0.0, 1.0 / 128, (64, 16, 4, 32)).astype(np.float32)
|
|
b_npy = np.random.normal(0.0, 1.0 / 128, (64, 16, 4, 32)).astype(np.float32)
|
|
a_mlx = mx.array(a_npy)
|
|
b_mlx = mx.array(b_npy)
|
|
|
|
a_npy = np.transpose(a_npy, (0, 2, 1, 3))
|
|
b_npy = np.transpose(b_npy, (0, 2, 1, 3))
|
|
a_mlx = mx.transpose(a_mlx, (0, 2, 1, 3))
|
|
b_mlx = mx.transpose(b_mlx, (0, 2, 1, 3))
|
|
|
|
c_npy = a_npy @ np.transpose(b_npy, (0, 1, 3, 2))
|
|
c_mlx = a_mlx @ mx.transpose(b_mlx, (0, 1, 3, 2))
|
|
self.assertListEqual(list(c_npy.shape), list(c_mlx.shape))
|
|
self.assertTrue(np.allclose(c_mlx, c_npy, atol=1e-6))
|
|
|
|
def __gemv_test(
|
|
self,
|
|
shape_mat,
|
|
shape_vec,
|
|
np_dtype=np.float32,
|
|
mat_first=True,
|
|
np_mat_f=lambda x: x,
|
|
np_vec_f=lambda x: x,
|
|
mlx_mat_f=lambda x: x,
|
|
mlx_vec_f=lambda x: x,
|
|
):
|
|
with self.subTest(shape=shape_mat):
|
|
np.random.seed(42)
|
|
scale = max(np.sum(shape_mat), 32)
|
|
mat_npy = np.random.normal(0.0, 1.0 / scale, shape_mat).astype(np_dtype)
|
|
vec_npy = np.random.normal(0.0, 1.0 / scale, shape_vec).astype(np_dtype)
|
|
|
|
mat_mlx = mx.array(mat_npy)
|
|
vec_mlx = mx.array(vec_npy)
|
|
|
|
mat_npy = np_mat_f(mat_npy)
|
|
vec_npy = np_vec_f(vec_npy)
|
|
mat_mlx = mlx_mat_f(mat_mlx)
|
|
vec_mlx = mlx_vec_f(vec_mlx)
|
|
|
|
if mat_first:
|
|
out_npy = mat_npy @ vec_npy
|
|
out_mlx = mat_mlx @ vec_mlx
|
|
else:
|
|
out_npy = vec_npy @ mat_npy
|
|
out_mlx = vec_mlx @ mat_mlx
|
|
|
|
self.assertListEqual(list(out_npy.shape), list(out_mlx.shape))
|
|
self.assertTrue(np.allclose(out_mlx, out_npy, atol=1e-5))
|
|
|
|
def test_matrix_vector(self):
|
|
for dtype in self.dtypes:
|
|
with self.subTest(dtype=dtype):
|
|
np_dtype = getattr(np, dtype)
|
|
|
|
# Basic square matrix test
|
|
self.__gemv_test(
|
|
shape_mat=(64, 64), shape_vec=(64, 1), np_dtype=np_dtype
|
|
)
|
|
self.__gemv_test(
|
|
shape_mat=(64, 64),
|
|
shape_vec=(64, 1),
|
|
np_dtype=np_dtype,
|
|
mat_first=False,
|
|
np_vec_f=lambda x: np.transpose(x, (1, 0)),
|
|
mlx_vec_f=lambda x: mx.transpose(x, (1, 0)),
|
|
)
|
|
|
|
# Vector matrix product with aligned and unaligned shapes
|
|
for in_len_base, out_len_base in (
|
|
(2, 2),
|
|
(32, 32),
|
|
(64, 64),
|
|
(2048, 2048),
|
|
):
|
|
for mi in (-1, 0, 1):
|
|
for mj in (-1, 0, 1):
|
|
# Vec mat
|
|
shape_mat = (in_len_base + mi, out_len_base + mj)
|
|
shape_vec = (1, in_len_base + mi)
|
|
self.__gemv_test(
|
|
shape_mat, shape_vec, mat_first=False, np_dtype=np_dtype
|
|
)
|
|
|
|
# Mat vec
|
|
shape_mat = (out_len_base + mj, in_len_base + mi)
|
|
shape_vec = (in_len_base + mi, 1)
|
|
self.__gemv_test(
|
|
shape_mat, shape_vec, mat_first=True, np_dtype=np_dtype
|
|
)
|
|
|
|
def test_matrix_vector_batched(self):
|
|
for dtype in self.dtypes:
|
|
with self.subTest(dtype=dtype):
|
|
np_dtype = getattr(np, dtype)
|
|
|
|
# Batched mat vec
|
|
for shape_mat, shape_vec in (
|
|
((32, 128, 64), (32, 64, 1)),
|
|
((128, 64), (32, 64, 1)),
|
|
((32, 128, 64), (64, 1)),
|
|
((2, 1, 8, 1, 6, 128), (2, 1, 8, 4, 128, 1)),
|
|
):
|
|
self.__gemv_test(
|
|
shape_mat, shape_vec, mat_first=True, np_dtype=np_dtype
|
|
)
|
|
|
|
# Batched vec mat
|
|
for shape_vec, shape_mat in (
|
|
((32, 1, 128), (32, 128, 64)),
|
|
((32, 1, 128), (128, 64)),
|
|
((1, 128), (32, 128, 64)),
|
|
((1, 8, 4, 1, 128), (1, 8, 1, 128, 6)),
|
|
):
|
|
self.__gemv_test(
|
|
shape_mat, shape_vec, mat_first=False, np_dtype=np_dtype
|
|
)
|
|
|
|
def test_matrix_vector_broadcast(self):
|
|
for dtype in self.dtypes:
|
|
with self.subTest(dtype=dtype):
|
|
np_dtype = getattr(np, dtype)
|
|
|
|
# Different broadcasts mat vec
|
|
for shape_mat, shape_vec in (
|
|
((32, 64, 64), (32, 64, 1)),
|
|
((64, 64), (32, 64, 1)),
|
|
((32, 64, 64), (64, 1)),
|
|
):
|
|
self.__gemv_test(
|
|
shape_mat=(64, 64),
|
|
shape_vec=(64, 1),
|
|
np_dtype=np_dtype,
|
|
np_mat_f=(lambda mat_npy: np.broadcast_to(mat_npy, shape_mat)),
|
|
np_vec_f=(lambda vec_npy: np.broadcast_to(vec_npy, shape_vec)),
|
|
mlx_mat_f=(lambda mat_mlx: mx.broadcast_to(mat_mlx, shape_mat)),
|
|
mlx_vec_f=(lambda vec_mlx: mx.broadcast_to(vec_mlx, shape_vec)),
|
|
)
|
|
|
|
# Different broadcasts vec mat
|
|
for shape_vec, shape_mat in (
|
|
((32, 1, 64), (32, 64, 64)),
|
|
((32, 1, 64), (64, 64)),
|
|
((1, 64), (32, 64, 64)),
|
|
):
|
|
self.__gemv_test(
|
|
shape_mat=(64, 64),
|
|
shape_vec=(1, 64),
|
|
np_dtype=np_dtype,
|
|
mat_first=False,
|
|
np_mat_f=lambda mat_npy: np.broadcast_to(mat_npy, shape_mat),
|
|
np_vec_f=lambda vec_npy: np.broadcast_to(vec_npy, shape_vec),
|
|
mlx_mat_f=lambda mat_mlx: mx.broadcast_to(mat_mlx, shape_mat),
|
|
mlx_vec_f=lambda vec_mlx: mx.broadcast_to(vec_mlx, shape_vec),
|
|
)
|
|
|
|
def test_matrix_vector_edgecases(self):
|
|
for dtype in self.dtypes:
|
|
with self.subTest(dtype=dtype):
|
|
np_dtype = getattr(np, dtype)
|
|
|
|
for in_vec_len in np.arange(1, 5):
|
|
for out_vec_len in np.arange(1, 5):
|
|
for batch_size in np.arange(1, 5):
|
|
with self.subTest(
|
|
problem_shape=(batch_size, in_vec_len, out_vec_len)
|
|
):
|
|
# Matrix vector
|
|
with self.subTest(transpose=False):
|
|
a_npy = np.ones(
|
|
(batch_size, out_vec_len, in_vec_len),
|
|
dtype=np_dtype,
|
|
)
|
|
b_npy = np.ones(
|
|
(batch_size, in_vec_len, 1), dtype=np_dtype
|
|
)
|
|
for i in range(batch_size):
|
|
b_npy[i] *= i + 1.0
|
|
|
|
a_mlx, b_mlx = map(mx.array, [a_npy, b_npy])
|
|
c_npy = a_npy @ b_npy
|
|
c_mlx = a_mlx @ b_mlx
|
|
|
|
self.assertListEqual(
|
|
list(c_npy.shape), list(c_mlx.shape)
|
|
)
|
|
self.assertTrue(np.array_equal(c_mlx, c_npy))
|
|
|
|
# Vector matrix
|
|
with self.subTest(transpose=True):
|
|
a_npy = np.ones(
|
|
(batch_size, out_vec_len, in_vec_len),
|
|
dtype=np_dtype,
|
|
)
|
|
b_npy = np.ones(
|
|
(batch_size, 1, out_vec_len), dtype=np_dtype
|
|
)
|
|
for i in range(batch_size):
|
|
b_npy[i] *= i + 1.0
|
|
|
|
a_mlx, b_mlx = map(mx.array, [a_npy, b_npy])
|
|
c_npy = b_npy @ a_npy
|
|
c_mlx = b_mlx @ a_mlx
|
|
|
|
self.assertListEqual(
|
|
list(c_npy.shape), list(c_mlx.shape)
|
|
)
|
|
self.assertTrue(np.array_equal(c_mlx, c_npy))
|